Robust fault tolerant control of continuous-time switched systems: An LMI approach |
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| Affiliation: | 1. Department of Computer Science, Brunel University London, Uxbridge, Middlesex UB8 3PH, United Kingdom;2. School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China;3. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191 China;4. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;1. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, PR China;2. Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China;3. School of Automation, Southeast University, Nanjing, Jiangsu 210096, PR China |
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| Abstract: | The present paper proposes a new robust fault tolerant control (RFTC) design for continuous-time switched systems. The main objective is to design in an integrated way the couple (controller, observer) that allows to stabilize switched systems even in the presence of actuator faults. A state/fault estimation observer is designed to simultaneously estimate system state and actuator faults. Based on this observer, a fault tolerant controller is developed to stabilize the system and accommodate the actuator faults automatically. The RFTC problem is formalized in the form of linear matrix inequalities (LMI) rather than bilinear matrix inequalities (BMI), to avoid the difficulty of solving BMIs. Finally, a numerical example composed of unstable subsystems is studied to show the applicability and efficiency of the obtained results. |
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| Keywords: | Fault tolerant control Fault estimation Switched systems Mode-dependent average dwell time Observer-based control Linear matrix inequality (LMI) |
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